Multirate iterative scheme based on multiphysics discontinuous Galerkin method for a poroelasticity model

DOI10.1016/j.apnum.2018.02.003zbMath1393.65030OpenAlexW2791163901MaRDI QIDQ1743406

Mengxia Ma, Zhihao Ge

Publication date: 13 April 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.02.003

zbMATH Keywords

multiphysics discontinuous Galerkin methodporoelasticity modelmultirate iterative scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (10)

A decoupling finite element method with different time steps for the micropolar fluid model ⋮ A cost-efficient space-time adaptive algorithm for coupled flow and transport ⋮ Multirate Time Iterative Scheme with Multiphysics Finite Element Method For a Nonlinear Poroelasticity ⋮ A fast method for solving time-dependent nonlinear convection diffusion problems ⋮ Unnamed Item ⋮ A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem ⋮ Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow ⋮ Discontinuous Galerkin method for the nonlinear Biot's model ⋮ Discontinuous Galerkin method for the fully dynamic Biot's model ⋮ On the implementation of an adaptive multirate framework for coupled transport and flow

Cites Work

• Unnamed Item
• Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach
• A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity
• Multiphysics discontinuous Galerkin method for a poroelasticity model
• A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. I: The continuous in time case
• A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. II: The discrete-in-time case
• Fully Discrete Finite Element Approximations of a Polymer Gel Model
• Analysis of a multiphysics finite element method for a poroelasticity model

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